Degrees Angles Circles

This is what kind of angle?

• obtuse

• right

• straight

• acute

Vertical angles are always

• acute

• total 180 degrees

• congruent (equal measures)

• adjacent angles

What is the vertical angle to angle 4?

• Angle 2

• Angle 6

• Angle 8

• Angle 7

What is the measure of the value of x in the diagram? ​ ​​ (a)  

• 102

• 204

• 129

• 51

What is the measure of ∠RSQ ?

Mathematical Equivalence

ON

Answer explanation

Find the measure of arc RQ.

360 - 121 - 157 = 82

m∠RSQ = ½ arc RQ

m∠RSQ = ½ (82)

m∠RSQ = 41

What is the measure of ∠RSQ ?

Mathematical Equivalence

ON

Answer explanation

Find the measure of arc RQ.

360 - 121 - 157 = 82

m∠RSQ = ½ arc RQ

m∠RSQ = ½ (82)

m∠RSQ = 41

Find m∠PQR.

Mathematical Equivalence

ON

Answer explanation

Angle is formed by two tangents

Find the large arc 360 - 125 = 235

m∠PQR = ½ (235 - 125)

m∠PQR = 55

What is being represented in the image?

• Inscribed Angle

• Central Angle

𝑚∠𝐿𝐶𝑀 = ​ (a)  

𝑚∠𝐽𝐶𝑁 = ​ (b)  

m arc 𝑁̂𝑀 = ​ (c)  

𝑚 arc𝐾̂𝑀 = ​ ​ (d)  

• 55

• 105

• 75

• also 105

• 180

• 360

• 130

• also 55

• also 75

• also 180